Analysis of Transmission Lines of Finite Thickness Above a Periodically Perforated Ground Plane at Oblique Orientations

Guangwen Pan; Xiaojun Zhu; Barry K. Gilbert

doi:10.1109/22.348099

Analysis of Transmission Lines of Finite Thickness Above a Periodically Perforated Ground Plane at Oblique Orientations

Guangwen Pan, Xiaojun Zhu, Barry K. Gilbert

Physiology & Biomedical Engineering

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A general method is formulated for the analysis of signal lines of finite thickness in the presence of a periodically perforated ground plane. Utilizing the dyadic Green's functions, a set of electric and magnetic field integral equations (EFIE, MFIE) is established, which are then transformed into the spectral domain by the Fourier transform. Galerkin's method is used to solve the combined integral equations. The B-spline functions are chosen as basis functions to achieve a higher order of convergence. The dispersive characteristics of the transmission lines are studied and the characteristic impedance of the signal lines are evaluated by both the voltage-current definition and the power-current definition, with good consistency. The effect of signal locations versus apertures in the ground plane is discussed. Finally, measurements are conducted, and the results agreed very well with the theory.

Original language	English (US)
Pages (from-to)	383-393
Number of pages	11
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	43
Issue number	2
DOIs	https://doi.org/10.1109/22.348099
State	Published - Feb 1995

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

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title = "Analysis of Transmission Lines of Finite Thickness Above a Periodically Perforated Ground Plane at Oblique Orientations",

abstract = "A general method is formulated for the analysis of signal lines of finite thickness in the presence of a periodically perforated ground plane. Utilizing the dyadic Green's functions, a set of electric and magnetic field integral equations (EFIE, MFIE) is established, which are then transformed into the spectral domain by the Fourier transform. Galerkin's method is used to solve the combined integral equations. The B-spline functions are chosen as basis functions to achieve a higher order of convergence. The dispersive characteristics of the transmission lines are studied and the characteristic impedance of the signal lines are evaluated by both the voltage-current definition and the power-current definition, with good consistency. The effect of signal locations versus apertures in the ground plane is discussed. Finally, measurements are conducted, and the results agreed very well with the theory.",

author = "Guangwen Pan and Xiaojun Zhu and Gilbert, {Barry K.}",

note = "Funding Information: Manuscript received Augu\t 28, 1993; revised March 28, 1994. This research is supported in part by ARPAESTO under Contract NO00 14-9 1 -J-4030 from the Office of Naval Research, and Contract 133-P771 from Roeing Acrospace Corporation. G. Pan is with thc Signal Propagation Research Laboratory, Dept. of EE&CS, University of Wisconsin-Milwaukee, Milwaukee, WI 53201 USA. X. Zhu is with Ansoft Corp., Pittsburgh, PA 15219 USA. B. Gilbert is with the Department of Physiology and Biophysics, Mayo Foundation, Rochester, MN 55905 USA. IEEE Log Number 9407291.",

year = "1995",

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doi = "10.1109/22.348099",

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AU - Pan, Guangwen

AU - Zhu, Xiaojun

AU - Gilbert, Barry K.

N1 - Funding Information: Manuscript received Augu\t 28, 1993; revised March 28, 1994. This research is supported in part by ARPAESTO under Contract NO00 14-9 1 -J-4030 from the Office of Naval Research, and Contract 133-P771 from Roeing Acrospace Corporation. G. Pan is with thc Signal Propagation Research Laboratory, Dept. of EE&CS, University of Wisconsin-Milwaukee, Milwaukee, WI 53201 USA. X. Zhu is with Ansoft Corp., Pittsburgh, PA 15219 USA. B. Gilbert is with the Department of Physiology and Biophysics, Mayo Foundation, Rochester, MN 55905 USA. IEEE Log Number 9407291.

PY - 1995/2

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N2 - A general method is formulated for the analysis of signal lines of finite thickness in the presence of a periodically perforated ground plane. Utilizing the dyadic Green's functions, a set of electric and magnetic field integral equations (EFIE, MFIE) is established, which are then transformed into the spectral domain by the Fourier transform. Galerkin's method is used to solve the combined integral equations. The B-spline functions are chosen as basis functions to achieve a higher order of convergence. The dispersive characteristics of the transmission lines are studied and the characteristic impedance of the signal lines are evaluated by both the voltage-current definition and the power-current definition, with good consistency. The effect of signal locations versus apertures in the ground plane is discussed. Finally, measurements are conducted, and the results agreed very well with the theory.

AB - A general method is formulated for the analysis of signal lines of finite thickness in the presence of a periodically perforated ground plane. Utilizing the dyadic Green's functions, a set of electric and magnetic field integral equations (EFIE, MFIE) is established, which are then transformed into the spectral domain by the Fourier transform. Galerkin's method is used to solve the combined integral equations. The B-spline functions are chosen as basis functions to achieve a higher order of convergence. The dispersive characteristics of the transmission lines are studied and the characteristic impedance of the signal lines are evaluated by both the voltage-current definition and the power-current definition, with good consistency. The effect of signal locations versus apertures in the ground plane is discussed. Finally, measurements are conducted, and the results agreed very well with the theory.

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Analysis of Transmission Lines of Finite Thickness Above a Periodically Perforated Ground Plane at Oblique Orientations

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